123010741186560 has 2496 divisors, whose sum is σ = 470858298753024. Its totient is φ = 30767579136000.

The previous prime is 123010741186559. The next prime is 123010741186577. The reversal of 123010741186560 is 65681147010321.

123010741186560 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 1 + 0 + 7 + 4 + 1 + 1 + 86 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 968588513217 + ... + 968588513343.

It is an arithmetic number, because the mean of its divisors is an integer number (188645151744).

Almost surely, 2^{123010741186560} is an apocalyptic number.

123010741186560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123010741186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235429149376512).

123010741186560 is an abundant number, since it is smaller than the sum of its proper divisors (347847557566464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123010741186560 is a wasteful number, since it uses less digits than its factorization.

123010741186560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

Adding to 123010741186560 its reverse (65681147010321), we get a palindrome (188691888196881).

The spelling of 123010741186560 in words is "one hundred twenty-three trillion, ten billion, seven hundred forty-one million, one hundred eighty-six thousand, five hundred sixty".